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Finding the Fourth Proportional to 2,520.84, 3,781.66 and 1,534.38

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Solution

The fourth proportional to 2,520.84, 3,781.66 and 1,534.38 is: 2,301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.84 : 3,781.66 = 1,534.38 : x
  2. Step 2: Convert to fraction form
    2,520.84/3,781.66 = 1,534.38/x
  3. Step 3: Cross multiply
    2,520.84x = 3,781.66 × 1,534.38
  4. Step 4: Simplify right side
    2,520.84x = 5,802,503.47
  5. Step 5: Solve for x
    x = 5,802,503.47/2,520.84
  6. Step 6: Final answer
    x = 2,301.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.